Korovkin-type theorems and local approximation problems

DOI10.1016/j.exmath.2022.06.001OpenAlexW4283170588WikidataQ113874242 ScholiaQ113874242MaRDI QIDQ2105663

Francesco Altomare

Publication date: 8 December 2022

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2022.06.001

zbMATH Keywords

positive linear operatorconvolution operatorKorovkin-type theoremBernstein-type operatorbounded \(2 \pi \)-periodic functionlocal uniform approximation

Mathematics Subject Classification ID

Multidimensional problems (41A63) Positive linear operators and order-bounded operators (47B65) Lattices of continuous, differentiable or analytic functions (46E05) Approximation by positive operators (41A36)

Related Items (2)

Nonlinear operator extensions of Korovkin's theorems ⋮ Quantitative Korovkin theorems for monotone sublinear and strongly translatable operators in $L_{p}([0, 1)$, $1\le p\le \infty $]

Cites Work

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• Korovkin-type theorems on \(B(\mathcal{H})\) and their applications to function spaces
• Korovkin type results for multivariate continuous periodic functions
• On the convergence of sequences of positive linear operators and functionals on bounded function spaces
• Korovkin-type Theorems and Approximation by Positive Linear Operators

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